Particle in a box with non-flat bottom

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Homework Statement



please see q attached..


Homework Equations





The Attempt at a Solution



Ok so I've shown that all the first order energy shifts are zero. I'm just not sure what the simple explanation for this is...?


THanks!
 

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also - another question says: discuss the constrains on W for perturbation theory to be asuitable approx method.

What can i say beyond W must be small? anything else..?

Thanks
 

Thread 'Modeling a graph that shows age in relation to depth of an ice sample'

To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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